Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids

Extended embedded finite elements with continuous displacement jumps for the modeling of... This paper address novel extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids. On o hand, bad upon the unified multiscale kimatics of strong discontinuities, standard finite elements at the coar scale are enriched with fi scale kimatics in which non-uniform discontinuity modes are incorporated. On the other hand, the traction continuity condition across the discontinuity is enforced in the statically optimal form as the fi scale statics. The admissible discontinuity modes satisfying a priori the traction continuity condition are derived. In addition to the relative rigid body motions (translations and rotations), more geral relative stretching modes that induce discontinuous strain/stress fields in the bulk, are obtaid with no limit of a vanishing Poisson's ratio. The propod model then particularizes to 2D quadrilateral elements. The displacement jumps at the discontinuity nodes are lected as the enrichment parameters and regarded as global variables shared by ighboring elements. The resulting model not only is intrinsically stress locking free for a fully softed discontinuity, but also automatically guarantees global continuity of the displacement jumps. Another befit is that the numerical instability suffered under the unfavorable element/discontinuity configuration can be easily circumvented. Furthermore, the vanishing http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computer Methods in Applied Mechanics and Engineering Elsevier

Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids

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Publisher
Elsevier
Copyright
Copyright © 2014 Elsevier B.V.
ISSN
0045-7825
eISSN
1879-2138
D.O.I.
10.1016/j.cma.2014.11.013
Publisher site
See Article on Publisher Site

Abstract

This paper address novel extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids. On o hand, bad upon the unified multiscale kimatics of strong discontinuities, standard finite elements at the coar scale are enriched with fi scale kimatics in which non-uniform discontinuity modes are incorporated. On the other hand, the traction continuity condition across the discontinuity is enforced in the statically optimal form as the fi scale statics. The admissible discontinuity modes satisfying a priori the traction continuity condition are derived. In addition to the relative rigid body motions (translations and rotations), more geral relative stretching modes that induce discontinuous strain/stress fields in the bulk, are obtaid with no limit of a vanishing Poisson's ratio. The propod model then particularizes to 2D quadrilateral elements. The displacement jumps at the discontinuity nodes are lected as the enrichment parameters and regarded as global variables shared by ighboring elements. The resulting model not only is intrinsically stress locking free for a fully softed discontinuity, but also automatically guarantees global continuity of the displacement jumps. Another befit is that the numerical instability suffered under the unfavorable element/discontinuity configuration can be easily circumvented. Furthermore, the vanishing

Journal

Computer Methods in Applied Mechanics and EngineeringElsevier

Published: Mar 1, 2015

References

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